A trigintillion is equal to \(10^{93}\) in the short scale, or \(10^{180}\) in the long scale by Conway-Wechsler system[1][2][3][4][5][6].
BlankEntity calls this number Troogol.[7] However, it can be confused with Bowers' troogol and Saibian's throogol.
In the long scale, 1093 is called quindecilliard.
List of prefixed numbers derived from trigintillion[]
| Name | Short scale | Long scale |
|---|---|---|
| untrigintillion | 1096 | 10186 |
| duotrigintillion | 1099 | 10192 |
| trestrigintillion | 10102 | 10198 |
| quattuortrigintillion | 10105 | 10204 |
| quintrigintillion | 10108 | 10210 |
| sestrigintillion | 10111 | 10216 |
| septentrigintillion | 10114 | 10222 |
| octotrigintillion | 10117 | 10228 |
| noventrigintillion | 10120 | 10234 |
Examples[]
- In 500 trigintillion years, every star will be dead, and as a result, the entire universe will permanently turn completely dark.
Trivia[]
The book Googolplex Written Out, by Wolfgang H. Nitsche, has 10 trigintillion volumes.[8]
Approximations[]
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{93}\) | |
| Arrow notation | \(10\uparrow93\) | |
| Steinhaus-Moser Notation | 53[3] | 54[3] |
| Copy notation | 9[93] | 10[47] |
| Taro's multivariable Ackermann function | A(3,305) | A(3,306) |
| Pound-Star Notation | #*(9,4,7,0,5,7,2)*8 | #*(10,4,7,0,5,7,2)*8 |
| BEAF | {10,93} | |
| Hyper-E notation | E93 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)[805] | (0)(0)(0)(0)(0)[806] |
| Hyperfactorial array notation | 66! | 67! |
| Fast-growing hierarchy | \(f_2(300)\) | \(f_2(301)\) |
| Hardy hierarchy | \(H_{\omega^2}(300)\) | \(H_{\omega^2}(301)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega9+3}}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{180}\) | |
| Arrow notation | \(10\uparrow180\) | |
| Steinhaus-Moser Notation | 91[3] | 92[3] |
| Copy notation | 9[180] | 1[181] |
| Taro's multivariable Ackermann function | A(3,594) | A(3,595) |
| Pound-Star Notation | #*((56))*9 | #*((57))*9 |
| BEAF | {10,180} | |
| Hyper-E notation | E180 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)[649] | (0)(0)(0)(0)(0)(0)[650] |
| Hyperfactorial array notation | 110! | 111! |
| Fast-growing hierarchy | \(f_2(588)\) | \(f_2(589)\) |
| Hardy hierarchy | \(H_{\omega^2}(588)\) | \(H_{\omega^2}(589)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^2+\omega8}}(10)\) | |
Sources[]
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ Steve Olsen, Big-Ass Numbers
- ↑ The Conway-Wechsler System
- ↑ Names for Large Numbers (Internet archive, archived at 6 June, 2002)
- ↑ Extensions to the -illions I: Henkle, Conway, and Rowlett
- ↑ Fish. Conway's zillion numbers, July 25, 2021
- ↑ BlankEntity's Googology Site
- ↑ http://www.googolplexwrittenout.com
See also[]
Main article: -illion
1–9: million · billion · trillion · quadr · quint · sext · sept · oct · non10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · tresvigint · quattuorvigint · quinvigint · sesvigint · septemvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
40–49: quadragintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
50–59: quinquagintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
80–89: octogintillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
100–900: centillion · ducent · trecent · quadringent · quingent · sescent · septingent · octingent · nongent
1,000–1030: millillion · dumill · dumillinonagintanongent · trimill · trimilliduotrigintatrecent · trimillisexoctogintaoctingent · quadrimill · quadrimilliquattuordecicent · quinmill · sexmill · septimill · octimill · nonimill · myr · decimilliquinsexagintasescent · dumyr · unquadragintamilliunquinquagintacent · centimill · micr · nan · pic · femt · att · zept · yoct · ront · quect